A generalization of normal spaces
A new class of spaces which contains the class of all normal spaces is defined and its characterization and properties are discussed.
A generalized continuity and product spaces
A Mapping Theorem on Aleph-spaces
A new characterization of spaces with locally countable -networks
A note on bi-contra-continuous maps.
A note on characterizations of compactness.
A note on functions with a closed graph
A note on -metrizable spaces
In this paper, the relationships between metric spaces and -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.
A note on inverse-preservations of regular open sets.
A note on mappings of Baire spaces
A note on monotone countable paracompactness
We show that a space is MCP (monotone countable paracompact) if and only if it has property , introduced by Teng, Xia and Lin. The relationship between MCP and stratifiability is highlighted by a similar characterization of stratifiability. Using this result, we prove that MCP is preserved by both countably biquotient closed and peripherally countably compact closed mappings, from which it follows that both strongly Fréchet spaces and q-space closed images of MCP spaces are MCP. Some results on...
A note on nearly-paracompact spaces
A note on open mappings of irreducible continua
A Note on Regular-closed Functions
Se ed sono spazi topologici, una funzione è detta regolarmente chiusa [5] se essa trasforma ogni insieme regolarmente chiuso di in un insieme chiuso di . Si dimostra che una funzione regolarmente chiusa risulta chiusa se è normale.
A note on semihomeomorphism between semi spaces
A note on separate continuity and connectivity properties
Separately continuous functions are shown to have certain properties related to connectedness.
A note on -spaces and -metrizable spaces
In this paper, we give the mapping theorems on -spaces and -metrizable spaces by means of some sequence-covering mappings, mssc-mappings and -mappings.
A note on spaces with countable extent
Let be a topological property. A space is said to be star P if whenever is an open cover of , there exists a subspace with property such that . In this note, we construct a Tychonoff pseudocompact SCE-space which is not star Lindelöf, which gives a negative answer to a question of Rojas-Sánchez and Tamariz-Mascarúa.
A note on spaces with locally countable weak-bases.
A note on the invariance of Baire spaces under mappings